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Finding the Third Proportional to 774,789 and 1,643,364

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Solution

The third proportional to 774,789 and 1,643,364 is: 3,485,652.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,789 : 1,643,364 = 1,643,364 : x
  2. Step 2: Convert to fraction form
    774,789/1,643,364 = 1,643,364/x
  3. Step 3: Cross multiply
    774,789x = 1,643,364 × 1,643,364
  4. Step 4: Simplify right side
    774,789x = 2,700,645,236,496
  5. Step 5: Solve for x
    x = 2,700,645,236,496/774,789
  6. Step 6: Final answer
    x = 3,485,652.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.